Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
298 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 61 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14531029 | C2 | semidirect |
| 3. #14528270 | C2 | semidirect |
| 4. #14526835 | C2 | semidirect |
| 5. #14526751 | C2 | semidirect |
| 6. #14526741 | C2 | semidirect |
| 7. C17×#2208 | C2 | semidirect |
| 127. #2208 | D17 | semidirect |
| 206. C17 | #12350 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541391 | 2 |
| #14531029 | 2 |
| #14528270 | 2 |
| #14526835 | 2 |
| #14526751 | 2 |
| #14526741 | 2 |
| C17×#2208 | 2 |
| #12350 | 17 |